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Question
Statements: Some books are pens. No pen is pencil.
Conclusions:
I. Some pens are books.
II. Some pencils are books.
III. Some books are not pencils.
IV. All pencils are books.
Statements: Some books are pens. No pen is pencil.
Conclusions:
I. Some pens are books.
II. Some pencils are books.
III. Some books are not pencils.
IV. All pencils are books.
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Solution
The correct option is A Only I and III follow
Since one premise is particular and the other negative, the conclusion must be particular negative and should not contain the middle term. Thus, III follows. I is the converse of the first premise and so it also holds.
Since one premise is particular and the other negative, the conclusion must be particular negative and should not contain the middle term. Thus, III follows. I is the converse of the first premise and so it also holds.
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